Answer
$$ x=2.766, -1.266$$
Work Step by Step
The quadratic formula states:
$$ x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$$
Solving by using the quadratic formula to approximate the solution, we find:
$$ x_{1,\:2}=\frac{-\left(-3\right)\pm \sqrt{\left(-3\right)^2-4\cdot \:2\left(-7\right)}}{2\cdot \:2}\\ x=\frac{3+\sqrt{65}}{4},\:x=\frac{3-\sqrt{65}}{4}\\ x=2.766, -1.266$$
